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1448107080 = 233571998663
BaseRepresentation
bin101011001010000…
…0101110001001000
310201220212110110120
41112110011301020
510431203411310
6355405543240
750612464350
oct12624056110
93656773416
101448107080
11683467312
12344b74b20
131a10233c4
14da475b60
15871e8b70
hex56505c48

1448107080 has 128 divisors (see below), whose sum is σ = 4990464000. Its totient is φ = 329294592.

The previous prime is 1448107079. The next prime is 1448107081. The reversal of 1448107080 is 807018441.

It is an interprime number because it is at equal distance from previous prime (1448107079) and next prime (1448107081).

It is a super-2 number, since 2×14481070802 = 4194028230292252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1448107081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162829 + ... + 171491.

It is an arithmetic number, because the mean of its divisors is an integer number (38988000).

Almost surely, 21448107080 is an apocalyptic number.

1448107080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495232000).

1448107080 is an abundant number, since it is smaller than the sum of its proper divisors (3542356920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1448107080 is a wasteful number, since it uses less digits than its factorization.

1448107080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1448107080 is about 38054.0021548325. The cubic root of 1448107080 is about 1131.3584518798.

The spelling of 1448107080 in words is "one billion, four hundred forty-eight million, one hundred seven thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 796 840 995 1194 1393 1592 1990 2388 2786 2985 3980 4179 4776 5572 5970 6965 7960 8358 8663 11144 11940 13930 16716 17326 20895 23880 25989 27860 33432 34652 41790 43315 51978 55720 60641 69304 83580 86630 103956 121282 129945 167160 173260 181923 207912 242564 259890 303205 346520 363846 485128 519780 606410 727692 909615 1039560 1212820 1455384 1723937 1819230 2425640 3447874 3638460 5171811 6895748 7276920 8619685 10343622 12067559 13791496 17239370 20687244 24135118 25859055 34478740 36202677 41374488 48270236 51718110 60337795 68957480 72405354 96540472 103436220 120675590 144810708 181013385 206872440 241351180 289621416 362026770 482702360 724053540 1448107080